Decide whether the normal sampling distribution can be used. If it can be​ used, test the claim about the population proportion p at the given level of significance α using the given sample statistics. ​Claim: p≠0.28​; α=0.01​; Sample​ statistics: p=0.26​,

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Decide whether the normal sampling distribution can be used. If it can be​ used, test the claim about the population proportion p at the given level of significance
α
using the given sample statistics.
​Claim:
p≠0.28​;
α=0.01​;
Sample​ statistics:
p=0.26​,
n=200
 
 
 

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Part 1
Can the normal sampling distribution be​ used?
 
 
A.
​No, because np is less than 5.
 
B.
​Yes, because both np and nq are greater than or equal to 5.
Your answer is correct.
 
C.
​Yes, because pq is greater than
α=0.01.
 
D.
​No, because nq is less than 5.
Part 2
State the null and alternative hypotheses.
 
 
A.
H0​:
p≤0.28
Ha​:
p>0.28
 
B.
H0​:
p=0.28
Ha​:
p≠0.28
Your answer is correct.
 
C.
H0​:
p≥0.28
Ha​:
p<0.28
 
D.
The test cannot be performed.
Part 3
Determine the critical​ value(s). Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.
 
 
A.
The critical​ value(s) is/are
enter your response here.
​(Round to two decimal places as needed. Use a comma to separate answers as​ needed.)
 
B.
The test cannot be performed.
 
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